6649054187776 has 1215 divisors, whose sum is σ = 19264683171237. Its totient is φ = 2287300055040.

The previous prime is 6649054187669. The next prime is 6649054187821. The reversal of 6649054187776 is 6777814509466.

The square root of 6649054187776 is 2578576.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 983587897600 + 5665466290176 = 991760^2 + 2380224^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 289089312501 + ... + 289089312523.

Almost surely, 2^{6649054187776} is an apocalyptic number.

6649054187776 is the 2578576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6649054187776

6649054187776 is an abundant number, since it is smaller than the sum of its proper divisors (12615628983461).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6649054187776 is an equidigital number, since it uses as much as digits as its factorization.

6649054187776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 70.

The spelling of 6649054187776 in words is "six trillion, six hundred forty-nine billion, fifty-four million, one hundred eighty-seven thousand, seven hundred seventy-six".